Mathematics

Well-designed mathematics instruction focused on concepts and problem-solving skills associated with measurement and data analysis can build a foundational understanding for more advanced mathematics. This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual understanding and problem-solving skills around the areas of measurement and data analysis.

Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest that students had turned proving into a rote task, whereby they expected to mark a diagram and prove two triangles congruent.

There is international and widespread recognition that early childhood education must be fully inclusive and based on the language, culture, and epistemology of local Indigenous communities (Kitson, 2010). Early childhood education (ECE) programs can only deliver on the promises ofculturally responsive schooling (Castagno & Brayboy, 2008; McCarty & Lee, 2014) when “staff members understand cultural expectations, relationships, and the subtleties of communication, including non-verbalcommunication” within the community (Kitson & Bowes, 2010, p.86).

A cluster randomized trial design was used to examine the effectiveness of a Grades 3 to 5 early algebra intervention with a diverse student population. Forty-six schools in three school districts participated. Students in treatment schools were taught the intervention by classroom teachers during regular mathematics instruction. Students in control schools received only regular mathematics instruction.